Question

find two positive numbers​

Answer 1

Step-by-step explanation:

let the numbers be x and y and x > y

given x + y = 12 and x² - y² = 48

x² - y² = (x + y)(x - y)

=> 48 = 12 × (x - y)

=> x - y = 4

now x + y = 12

x - y = 4

2x = 16 => x = 8 and 8 + y = 12 => y = 4

therefore two positive numbers are 8 and 4

Answer 2

Answer:

Since sum of the numbers is 12, the two numbers are x and 12-x

By the question:

x^2- (12-x)^2 = 48

x^2-144-x^2+24x= 48

24x= 144+48

24x= 192

x= 192/24

x= 8

The two numbers are 8 and 4

Step-by-step explanation: